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8142180 = 2235971399
BaseRepresentation
bin11111000011110101100100
3120022122222020
4133003311210
54041022210
6450303140
7126131064
oct37036544
916278866
108142180
114661382
122887ab0
1318c1077
14111d3a4
15aac770
hex7c3d64

8142180 has 48 divisors (see below), whose sum is σ = 23049600. Its totient is φ = 2147328.

The previous prime is 8142157. The next prime is 8142221. The reversal of 8142180 is 812418.

It is a self number, because there is not a number n which added to its sum of digits gives 8142180.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5121 + ... + 6519.

It is an arithmetic number, because the mean of its divisors is an integer number (480200).

Almost surely, 28142180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8142180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11524800).

8142180 is an abundant number, since it is smaller than the sum of its proper divisors (14907420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8142180 is a wasteful number, since it uses less digits than its factorization.

8142180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8142180 is about 2853.4505427640. The cubic root of 8142180 is about 201.1778826770.

Adding to 8142180 its reverse (812418), we get a palindrome (8954598).

The spelling of 8142180 in words is "eight million, one hundred forty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1399 1455 1940 2798 2910 4197 5596 5820 6995 8394 13990 16788 20985 27980 41970 83940 135703 271406 407109 542812 678515 814218 1357030 1628436 2035545 2714060 4071090 8142180